 | Elias Loomis - Conic sections - 1858 - 256 pages
...less than the sum of BA and AC, Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...four right angles. B. The three angles of every triangle are equal to two right angles. C. The angles at the base of an isosceles triangle are equal to one another. D. Construct a parallelogram equal to a given rectilineal figure, with an angle equal to a given angle.... | |
 | John Playfair - Geometry - 1860 - 334 pages
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...angles upon the other side of the base shall be equal. In BD take any point F, and from AE the greater cut off AG equal (3. 1.) to AF, the less, and join... | |
 | Euclides - 1860 - 288 pages
...coincide, and therefore the angle GBC is equal to the angle HEF. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall also be equal. Given, ABC an isosceles triangle, of which the side AB is equal to AC, and let the straight... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...angle, and a rhomboid. Explain the terms axiom, problem, hypothesis, reductio ad absurdum. 2. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angles on the other side of the base shall be equal. 3. If two straight lines cut one another, the angles... | |
 | War office - 1861 - 714 pages
...income tax on his income has 1632/. 18s. lOrf. remaining ; what had he at first ? Euclid. 1. The angles at the base of an isosceles triangle are equal to...angles upon the other side of the base shall be equal. 2. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | Euclides - 1862 - 140 pages
...two triangles have, &c. (see Enunciation). Which was to be shown. PROPOSITION 5. -THEOREM. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis. — 1. Let ABC be an isosceles triangle,... | |
 | Euclides - 1862 - 172 pages
...triangles have two sides of the one equal to two sides of the other, &c. PROP. V.— THEOREM. The angles at the base of an isosceles triangle are equal to...equal sides be produced, the angles upon the other fide of the base shall be equal. (References — Prop. l. 3, 4 ; ax. 3.) Let ABC be an isosceles triangle,... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...right angles. 3. Describe a square that shall be equal to a given rectilineal figure. 4. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles on the other side of the base shall be equal to one another. 5. Construct a triangle of which the sides... | |
 | Robert Potts - 1863 - 482 pages
...a right line, a right angle, parallel lines, a rKombus, and an acute-angled triangle. 2. The angles at the base of an isosceles triangle are equal to...; and, if the equal sides be produced, the angles on the other side of the base shall also be equal. Prove, without assuming any proposition subsequent... | |
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THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. 
